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GENERALIZATION OF HYPERBOLIC SMOOTHING APPROACH FOR NON-SMOOTH AND NON-LIPSCHITZ FUNCTIONS

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dc.creator YILMAZ, Nurullah
dc.creator ŞAHİNER, Ahmet
dc.date 2022-11-01T00:00:00Z
dc.date.accessioned 2023-01-09T12:05:06Z
dc.date.available 2023-01-09T12:05:06Z
dc.identifier 8919faca-f14d-4763-95f1-3eda4044c1d3
dc.identifier 10.3934/jimo.2021170
dc.identifier https://avesis.sdu.edu.tr/publication/details/8919faca-f14d-4763-95f1-3eda4044c1d3/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/98089
dc.description In this study, we concentrate on the hyperbolic smoothing technique for some sub-classes of non-smooth functions and introduce a generalization of hyperbolic smoothing technique for non-Lipschitz functions. We present some useful properties of this generalization of hyperbolic smoothing technique. In order to illustrate the efficiency of the proposed smoothing technique, we consider the regularization problems of image restoration. The regularization problem is recast by considering the generalization of hyperbolic smoothing technique and a new algorithm is developed. Finally, the minimization algorithm is applied to image restoration problems and the numerical results are reported.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title GENERALIZATION OF HYPERBOLIC SMOOTHING APPROACH FOR NON-SMOOTH AND NON-LIPSCHITZ FUNCTIONS
dc.type info:eu-repo/semantics/article


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